Kinetics of Nucleation and Growth: Classical Nucleation and Helium Bubbles in Nuclear Materials

Luis Bonilla (), Ana Carpio () and John C. Neu ()
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Luis Bonilla: Universidad Carlos III de Madrid, Grupo de Modelización, Simulación Numérica y Matemática Industrial
Ana Carpio: Universidad Complutense de Madrid, Departamento de Matemática Aplicada
John C. Neu: Universidad de California at Berkeley, Department of Mathematics

A chapter in Math Everywhere, 2007, pp 291-307 from Springer

Abstract: Abstract Discrete kinetic equations describe homogeneous nucleation and many other processes such as the formation and growth of helium bubbles due to selfirradiation in plutonium. A key ingredient in the analysis of these equations is a wave front expansion which is the equivalent of boundary layer theory for discrete equations. This expansion solves approximately the nucleation problem, but it needs to be patched to an outer solution describing sizes not too close to the maximum size for the helium bubble problem. The composite theory yields an integrodifferential equation for the monomer concentration of single helium atoms which compares well with numerical solution of the full discrete model.

Keywords: Monomer Concentration; Helium Atom; Homogeneous Nucleation; Discrete Equation; Size Distribution Function (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/978-3-540-44446-6_24

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